Including 8% sales tax, an inn charges $162 per night. Find
the inn's nightly cost before the tax is added.

Answer:

4cm

Step-by-step explanation:

volume of triangle

\( \frac{1}{2} \times (11 \times 18 \times y)\)

\(396 = \frac{1}{2} (198 \times y) \\ 792 = (198 \times y) \\ y = 792 \div 198 \\ y = 4\)

Answer:

2cm

Step-by-step explanation:

the volume of the prism = the area of the cross section* the height

                            396            = 11*18*X

                                           x = 2cm

Answer:

Step-by-step explanation

Given

Total number of pages to complete the packet = 6400 pages

If each ream contains 500pages, then:

Total number of reams needed = Total pages/number of pages per ream

Total number of reams needed = 6400/500

Total number of reams needed = 12.8

Hence you will need about 13 reams for all the packets

The correct option is A) 5 – 1 ≠ 1 – 5  shows why the commutative property doesn't work under subtraction

The commutative property works for addition and multiplication. It says that when adding or multiplying, you can switch the order of the numbers around and still get the same answer.

For instance, in simple terms, the commutative property of addition states that changing the order of the addends will not change the sum. That is, a + b = b + a.

Similarly, the commutative property of multiplication states that changing the order of the factors will not change the product. That is, a × b = b × a.

However, the commutative property does not work for subtraction and division. You cannot change the order of numbers around and still get the same answer when you're subtracting or dividing. In other words, the order of the numbers matters in these cases.

That is, a - b ≠ b - a; a / b ≠ b / a.Here, the options C and D are not valid since they both represent addition operations, whereas the question demands subtraction. Between options A and B, A represents the subtraction operation and the result for this option is not the same as the result for the reverse subtraction operation which is why A is the right option.

To know more about commutative property refer here:

https://brainly.com/question/28747013#

#SPJ11

Answers:

x = 12

angle A = 30 degrees

===========================================================

Explanation:

Check out the attached image below.

Note the pair of (8x+4) angles which are congruent vertical angles.

Also, notice that 50+130 = 180 since those adjacent angles are supplementary. In other words, they form a straight line.

Now that we know the expressions for each interior angle, we add them up and set the sum equal to 180. Recall that for any triangle, the interior angles always add to 180.

Let's solve for x

(3x-6) + (8x+4) + (50) = 180

11x + 48 = 180 .... combine like terms

11x = 180-48 ..... subtract 48 from both sides

11x = 132

x = 132/11 ..... divide both sides by 11

x = 12

Use this to find the value of angle A

A = 3x-6

A = 3*12-6

A = 36 - 6

A = 30

For the sake of completeness, let's find 8x+4 as well. This part is optional

8x+4 = 8*12+4 = 96+4 = 100

The three interior angles of the triangle are: 30, 100, 50

Note how 30+100+50 = 180 to help confirm the answer.

a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.

The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):

v(t) = ∫(6 sin(t)) dt

Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:

v(t) = -6 cos(t) + C

To find the constant C, we use the initial velocity v(0) = -7 m/s:

-7 = -6 cos(0) + C

-7 = -6 + C

C = -1

Therefore, the equation for the object's velocity is:

v(t) = -6 cos(t) - 1

b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:

Displacement = ∫[0,3] (-6 cos(t) - 1) dt

Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:

Displacement = [-6 sin(t) - t] from 0 to 3

Plugging in the upper and lower limits:

Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]

Displacement ≈ -6 sin(3) + 3

Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.

c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:

Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt

Since the absolute value function makes the negative part positive, we can rewrite the equation as:

Total Distance = ∫[0,t] (6 cos(t) + 1) dt

Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:

Total Distance = [6 sin(t) + t] from 0 to t

Plugging in the upper and lower limits:

Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]

Total Distance = 6 sin(t) + t

Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

Learn more about distance here

https://brainly.com/question/30395212

#SPJ11

Answer: its c

Step-by-step explanation:

took the quiz

Answer:

Step-by-step explanation:

its C I got yall

Nul(A) = Nul(B) , Col(A) = Col(B) in integer matrices.

Describe matrix using an example?

A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements.

                                 In addition to many other areas of mathematics, matrices have extensive applications in the fields of engineering, physics, economics, and statistics.

The null space of any matrix A consists of all the vectors

 X  such that Ax = 0

And the column space of a matrix A is the span of its column vectors.

Let  A = \(\left[\begin{array}{ccc}1&0&0 \\0&1&0\\0&0&1\end{array}\right]\)

Therefore, Nul(A) = {(0,0,0,w ) w∈ Z }

 Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }

By using definition of Null space of matrix and column space of matrix.

 Let B = \(\left[\begin{array}{ccc}1&1&0\\0&1&0\\0&0&1\end{array}\right]\)        

Nul(A) = {(0,0,0,w ) w∈ Z }

 Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }

Hence Nul(A) = Nul(B) , Col(A) = Col(B)

Learn more about matrix

brainly.com/question/28180105

#SPJ1

Answer:

second one

s/(2πh) = r

Step-by-step explanation:

You want to put the unknown value you are solving on 1 side and rest on the other side. In this case, you have to have r alone on one side.

s=2πrh

Since they are all multiplied with r, you divide them all on both sides to send them to other side.

s/(2πh) = 2πrh/ (2πh)

cancel out right side and it leaves r alone.

s/(2πh) = r

We have to, the polynomial \(y^{(2)}+49.\) is not factorable.

The given polynomial is \(y^{(2)}+49.\)

This polynomial is not factorable because there are no two numbers that can be multiplied together to give a product of 49 and a sum of 0.

In other words, there are no two numbers that can be multiplied together to give 49 and added together to give 0. This means that the polynomial is not factorable.

Therefore, the answer is "not factorable".

In conclusion, the polynomial \(y^{(2)}+49\) is not factorable.

See more about polynomial at: https://brainly.com/question/24351176

#SPJ11

We need to find the derivative which is the rate of change

So, when x is infinite, the function g(x) has the greatest rate of change

Answer:

31.47

Step-by-step explanation:

WX - 11

3.1 x 13.7 - 11

42.47 -11

=31.47

Hi!

I can help you with joy!

All we have to do here is plug in the numbers.

wx-11

(3.1)(13.7)-11

Multiply:

42.47-11

Subtract:

31.47 (Answer)

I hope this helps!

Ask me if you have any questions.

~Misty~

-\(\bf{Silent~\)-

The least possible number of adult men in the town is 100.

Given that in a certain town, 2/3 of the adult men are married to 3/5 of the adult women. Also, we have to assume that all marriages are monogamous (no one is married to more than one other person). Thus, we have to determine the least possible number of adult men in the town. Let us solve this question using the following steps: Let the total number of adult men in the town be x. Since 2/3 of adult men are married, the number of married men in the town = 2/3x. Also, the remaining number of unmarried men = x - 2/3x = 1/3x.According to the question, 3/5 of adult women are married to 2/3 of adult men.

Thus, we have to assume that there are 2/3x married men and 3/5 of women are married. Therefore, the number of married women in the town = 3/5 × total number of women Number of women = Total number of men × 3/2 (since, 3/5 of women are married to 2/3 of men)Number of women = x × 3/2 × 3/5 = 9/10x∴ Number of married women in the town = 3/5 × 9/10x = 27/50x Since all marriages are monogamous, the number of married men and women in the town should be equal. 2/3x = 27/50x2/3 * 50 = 27/50 * x(2/3 * 50)/(27/50) = x=100 Therefore, the least possible number of adult men in the town is 100.

To know more about possible number visit:-

https://brainly.com/question/29163772

#SPJ11

The best diagram to use to display data dispersion is a box plot. A box plot is a diagram that shows how a dataset is distributed and helps to identify any outliers.

The diagram that is best at displaying data dispersion is a box plot. Here's the main answer:When there is a need to compare the distribution of data, a box plot is often the best method.

A box plot is a diagram that shows how a dataset is distributed. It shows how data is spread out and helps to identify any outliers. It is most effective for comparing data sets that have a large number of data points and when the data is not normal (not evenly distributed).

A box plot is a great way to summarize large amounts of data and it is also very easy to read and interpret. It shows a number of statistical values, including the median (the middle value of the data set), the quartiles (the values that divide the data set into four equal parts) and the range (the difference between the maximum and minimum values).

Additionally, it can identify any outliers in the data, which are values that are significantly different from the rest of the data.A box plot is created by drawing a rectangle between the first and third quartiles (the middle 50% of the data) with a line drawn inside it to show the median.

Lines are then drawn from the edges of the rectangle to the minimum and maximum values. Any outliers are marked with a point outside of the rectangle.

The box plot is a great way to compare data sets and to visualize the dispersion of the data

The best diagram to use to display data dispersion is a box plot. A box plot is a diagram that shows how a dataset is distributed and helps to identify any outliers. It is most effective for comparing data sets that have a large number of data points and when the data is not normal. A box plot is created by drawing a rectangle between the first and third quartiles with a line drawn inside it to show the median.

To know more about data dispersion visit:

brainly.com/question/32405309

#SPJ11

Assuming a normal distribution, about 95% of the data lies within 2 standard deviations of the mean.

This means that if we have data on the number of cars per household and the distribution follows a normal distribution, about 95% of the households will have a number of cars within 2 standard deviations of the mean. For example, if the mean number of cars per household is 2.5 and the standard deviation is 0.75, then about 95% of the households will have a number of cars between 1 and 4 (i.e., within 2 standard deviations of the mean). This corresponds to a range of 1.75 to 3.25 cars, which includes 2.5 cars (the mean).

It's important to note that this is an approximate value, and the actual percentage may vary slightly depending on the specific characteristics of the distribution.

Visit here to learn more about standard deviations:

brainly.com/question/23907081

#SPJ11

Answer: 4th answer because neither of the other one's work correctly.

The expression of sine function of sinâ1(â3/2) is undefined. The value of cosâ1(1/2) = π/3 radians.

The expression sinâ1(â3/2), since the sine function is only defined for angles between -π/2 and π/2, we cannot find an angle with a sine of -â3/2. Therefore, the expression is undefined.

The expression cosâ1(1/2), Since the cosine function is positive for angles between 0 and π, we know that the angle we are looking for is in the first or fourth quadrant.

To find the angle, we can use the inverse cosine function, which gives us the angle whose cosine is equal to the given value. Therefore, we have

cosθ = 1/2

Taking the inverse cosine of both sides, we get

θ = cos⁻¹(1/2)

Using the unit circle or trigonometric identities, we can find that cos⁻¹(1/2) = π/3 or 2π/3. Since the cosine function is positive in the first quadrant and negative in the fourth quadrant, we choose the solution in the first quadrant, which is θ = π/3.

Therefore, cosâ1(1/2) = π/3 radians.

To know more about sine function:

brainly.com/question/12015707

#SPJ4

Answer:

20805 bottles

Step-by-step explanation:

57*365

=20805 bottles

Answer:

• 1/5=2/10

• 1/5=3/15

• 1/5=4/20

Explanation:

We draw horizontal lines across each of the diagrams.

Case 1

There are a total of 10 boxes.

There are two shaded boxes.

An equivalent form for this is:

Case 2

There are a total of 15 boxes.

There are three shaded boxes.

An equivalent form for this is:

Case 3

There are a total of 20 boxes.

There are four shaded boxes.

An equivalent form for this is:

Answer:    P = 2(L + W)     distribute the 2

P = 2L + 2W      subtract 2L from both sides

P - 2L = 2W       divide both sidesby 2

(P - 2L)/2 = W

Answer:

81x4 = (9x^2)^2, 121a6 = (11a^3)^2, 0.09y12 = (0.3y^6)^2, 4/9b6 = (2/3b^3)^2

Step-by-step explanation:

sqrt of 81 = 9, (we do sqrt because its the inverse to exponents) x^4, x^2 * x^2 = (9x^2)^2

sqrt of 121 = 11, a^6, a^x * a^2 = a^6, x = 3, (11a^3)^2

sqrt of 0.09 = 0.3, y^12 = y^x * y^2, x=6,(0.3y^6)^2

sqrt of 4/9 = 2/3, b^x * b^2 = b^6, x = 3, (2/3b^3)^2

^ = power, * = multiplication

The inequality for the statement:-2/7 is at most the product of a number and -4/5. is --4x/5 ≤ -2/7

Information from the question

the statement: -2/7 is at most the product of a number and -4/5

Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using equal to

at most means the highest value hence the answer is either the number or less.

let the number be x

x * -4/5 ≤ -2/7

--4x/5 ≤ -2/7

Learn more about inequality:

brainly.com/question/29244324

#SPJ1

Step-by-step explanation:

Here's the answer I hope it will help you

Answer:

Step-by-step explanation:

From the Pythagorean Theorem

a^2 + b^2 = c^2

a = 1

b = ?

c = 2

1^2 + b^2 = 2^2

1 + b^2 = 4

b^2 = 4 - 1 = 3

b = sqrt(3)

Tan(30) = opposite / adjacent.

adjacent = sqrt(3)

Tan(30) = 1/sqrt(3)

=========

If you need a decimal, it is

1 / 1.321

tan 30 = 0.5774

Answer:hyper bola

Step-by-step explanation:

All you have to do is look up all the answers on images and then pick the one that looks the most similar

Answer:

C = 4 pi ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Solving for r

4 pi = pi r^2

Dividing each side by pi

4 = r^2

Taking the square root of each side

sqrt(4) = sqrt(r^2)

2 = r

Now we can find the circumference

C = 2 * pi *r

C = 2*pi*2

C = 4 pi ft

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

Learn more about  number from

https://brainly.com/question/27894163

#SPJ11

Answer:

sorry this question is confusing

Step-by-step explanation:

The conclusions that can be made about the two distributions are:

Options A and D are correct.

The means-to-MAD ratio is found by dividing the mean of a dataset by its Mean Absolute Deviation (MAD).

We have that in Data Set 1, the means-to-MAD ratio is 54/4 = 13.5, and in Data Set 2, the means-to-MAD ratio is 60/2 = 30.

Since the means-to-MAD ratio in Data Set 1 is 13.5 and in Data Set 2 is 30, we can conclude that the two distributions are not similar.

Learn more about means-to-MAD ratio at:

https://brainly.com/question/1187769

#SPJ4

Answer:

B, Rectangle.

Answer:

x = 20

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a= 16 and b=12 are the lengths of the legs of a right triangle and c=x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.  

This relationship is represented by the formula: a*a + b*b = c*c

\(\sqrt{16^2 + 12^2}\) = x